Y = -2(x-5)^2 + 4
Note: vertex form is 0, f(x), y, or nothing= a(x-h)^2 + k
The opposite of the x value of the vertex is h
The y value value of the vertex is k.
Find a. Plug in (6,-10)
-10 = a(6-5)^2 + 4
-10 = 1a + 4
-10 = 5a
a = -2
4
5x - 4 = 16
Add four to both sides
5x = 20
Divide both sides by 5
x = 4
Simplify the complex fractions
A) (from the picture) = 1 2/5.
B) (from the picture) = 13/22
Solve each equation below
A) (from the picture) x= 9
B) (from the picture) w= 10 1/2
C) (from the picture) y= -80
Find the sum of each number below. Describe how you know what the sign of you answer will be.
A) -19 + 8 = -11
B) -6 + (-5) = -11
A) Dependent Variable = Sue's Earning
Independent Variable = Number of hours she work
Y = 6x
B) When, x = 1, y = 6(1) = 6,
when x = 2, y = 6(2) = 12
when x = 3, y = 6(3) = 18
Ordered pairs would be: (1, 6), (2, 12), (3, 18)
C) Equation would be: Y = 6x
Where, y = Earning
x = number of hours
Hope this helps!
Given:
A person leaves work and travels west for 15 miles.
They then turn left and travel south for 10 miles, to their home.
To find:
Distance between work place and home.
Solution:
The person travels west for 15 miles, then travel south for 10 miles.
It means, it forms a right angle triangle with legs 15 and 10.
To find the distance between work place and home we need to find the hypotenuse of the triangle.
Pythagoras theorem:




Taking square root on both sides.


Therefore, the bird would fly 18.03 miles.